Symmetries in Quantum Mechanics
Symmetry and quantum mechanics are two of the most fundamental probes we have of nature. This collection of eleven papers discusses new quantum phenomena in atoms, galaxies, and people (quantum cognition), which is a testimonial to the breadth of the influence of symmetry and quantum mechanics. The...
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| פורמט: | Online |
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| שפה: | אנגלית |
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MDPI - Multidisciplinary Digital Publishing Institute
2022
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| נושאים: | |
| גישה מקוונת: | ONIX_20220224_9783036526959_15 |
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| _version_ | 1869527334895222784 |
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| collection | Directory of Open Access Books |
| description | Symmetry and quantum mechanics are two of the most fundamental probes we have of nature. This collection of eleven papers discusses new quantum phenomena in atoms, galaxies, and people (quantum cognition), which is a testimonial to the breadth of the influence of symmetry and quantum mechanics. The book represents an international effort of researchers from educational and research institutions in nine countries, including India, Finland, France, Mexico, Norway, Russia, Spain, Turkey, and the United States. The papers can be divided into four broad categories: Fundamentals of quantum systems, including a new derivation of the uncertainty principle from optimal stochastic control theory, a new model of energy transfer between atoms with no wave function collapse, a new asymmetric optical micro-device with the remarkable property of showing a current with no applied voltage, and a model of quantum cognition to predict the effect of irrelevant information on decision making. 2. Algebraic methods in quantum mechanics, describing an elegant derivation of hydrogen atom Stark effect matrix elements, and a new group theoretical method for the computation of radiative shifts. Teleportation and scattering, including a method to improve the information transfer in teleportation, and the use of permutation symmetry to compute scattering cross sections. Cosmology, including scalar-tensor theory applied to inflation, the characterization of new Levi-Cevita space-times, and a comprehensive analysis of gravitational dispersion forces. |
| format | Online |
| id | doab-20.500.12854ir-78717 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2022 |
| publishDateRange | 2022 |
| publishDateSort | 2022 |
| publisher | MDPI - Multidisciplinary Digital Publishing Institute |
| publisherStr | MDPI - Multidisciplinary Digital Publishing Institute |
| record_format | ojs |
| spelling | doab-20.500.12854ir-787172024-04-11T15:10:31Z Symmetries in Quantum Mechanics Maclay, G. Jordan n/a symmetry hydrogen atom group theory SO(4) SO(4,2) dynamical symmetry non-invariance group spectrum generating algebra Runge-Lenz Lamb shift quantum mechanics transaction Wheeler–Feynman transactional interpretation handshake advanced retarded wave function collapse collapse mechanism EPR HBT Jaynes NCT split photon Freedman–Clauser nonlocality entanglement stochastic optimal control stochastic mechanics thermodynamic equilibrium uncertainty principle algebraic approach DVR method coulombic potential stark effect teleportation indefinite causal order weak measurement quantum algorithm identity principle exchange contribution new type weak localization inelastic coherent scattering dispersion potentials phenomenology of quantum gravity novel experimental methods epistemology semiclassical methods decision-making uncertainty persuasion quantum-like distraction MIM diode metal–insulator–metal diode photoinjection internal photoemission vacuum fluctuations Casimir effect zero-point fluctuations geometrical asymmetry Levi-Civita metric general relativity curvature invariant thema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes::TB Technology: general issues::TBX History of engineering and technology Symmetry and quantum mechanics are two of the most fundamental probes we have of nature. This collection of eleven papers discusses new quantum phenomena in atoms, galaxies, and people (quantum cognition), which is a testimonial to the breadth of the influence of symmetry and quantum mechanics. The book represents an international effort of researchers from educational and research institutions in nine countries, including India, Finland, France, Mexico, Norway, Russia, Spain, Turkey, and the United States. The papers can be divided into four broad categories: Fundamentals of quantum systems, including a new derivation of the uncertainty principle from optimal stochastic control theory, a new model of energy transfer between atoms with no wave function collapse, a new asymmetric optical micro-device with the remarkable property of showing a current with no applied voltage, and a model of quantum cognition to predict the effect of irrelevant information on decision making. 2. Algebraic methods in quantum mechanics, describing an elegant derivation of hydrogen atom Stark effect matrix elements, and a new group theoretical method for the computation of radiative shifts. Teleportation and scattering, including a method to improve the information transfer in teleportation, and the use of permutation symmetry to compute scattering cross sections. Cosmology, including scalar-tensor theory applied to inflation, the characterization of new Levi-Cevita space-times, and a comprehensive analysis of gravitational dispersion forces. 2022-02-24T10:34:01Z 2022-02-24T10:34:01Z 2022 book ONIX_20220224_9783036526959_15 9783036526959 9783036526942 https://directory.doabooks.org/handle/20.500.12854/78717 eng image/jpeg Attribution 4.0 International https://mdpi.com/books/pdfview/book/4808 https://mdpi.com/books/pdfview/book/4808 MDPI - Multidisciplinary Digital Publishing Institute 10.3390/books978-3-0365-2695-9 10.3390/books978-3-0365-2695-9 46cabcaa-dd94-4bfe-87b4-55023c1b36d0 9783036526959 9783036526942 324 Basel open access |
| spellingShingle | n/a symmetry hydrogen atom group theory SO(4) SO(4,2) dynamical symmetry non-invariance group spectrum generating algebra Runge-Lenz Lamb shift quantum mechanics transaction Wheeler–Feynman transactional interpretation handshake advanced retarded wave function collapse collapse mechanism EPR HBT Jaynes NCT split photon Freedman–Clauser nonlocality entanglement stochastic optimal control stochastic mechanics thermodynamic equilibrium uncertainty principle algebraic approach DVR method coulombic potential stark effect teleportation indefinite causal order weak measurement quantum algorithm identity principle exchange contribution new type weak localization inelastic coherent scattering dispersion potentials phenomenology of quantum gravity novel experimental methods epistemology semiclassical methods decision-making uncertainty persuasion quantum-like distraction MIM diode metal–insulator–metal diode photoinjection internal photoemission vacuum fluctuations Casimir effect zero-point fluctuations geometrical asymmetry Levi-Civita metric general relativity curvature invariant thema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes::TB Technology: general issues::TBX History of engineering and technology Symmetries in Quantum Mechanics |
| title | Symmetries in Quantum Mechanics |
| title_full | Symmetries in Quantum Mechanics |
| title_fullStr | Symmetries in Quantum Mechanics |
| title_full_unstemmed | Symmetries in Quantum Mechanics |
| title_short | Symmetries in Quantum Mechanics |
| title_sort | symmetries in quantum mechanics |
| topic | n/a symmetry hydrogen atom group theory SO(4) SO(4,2) dynamical symmetry non-invariance group spectrum generating algebra Runge-Lenz Lamb shift quantum mechanics transaction Wheeler–Feynman transactional interpretation handshake advanced retarded wave function collapse collapse mechanism EPR HBT Jaynes NCT split photon Freedman–Clauser nonlocality entanglement stochastic optimal control stochastic mechanics thermodynamic equilibrium uncertainty principle algebraic approach DVR method coulombic potential stark effect teleportation indefinite causal order weak measurement quantum algorithm identity principle exchange contribution new type weak localization inelastic coherent scattering dispersion potentials phenomenology of quantum gravity novel experimental methods epistemology semiclassical methods decision-making uncertainty persuasion quantum-like distraction MIM diode metal–insulator–metal diode photoinjection internal photoemission vacuum fluctuations Casimir effect zero-point fluctuations geometrical asymmetry Levi-Civita metric general relativity curvature invariant thema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes::TB Technology: general issues::TBX History of engineering and technology |
| topic_facet | n/a symmetry hydrogen atom group theory SO(4) SO(4,2) dynamical symmetry non-invariance group spectrum generating algebra Runge-Lenz Lamb shift quantum mechanics transaction Wheeler–Feynman transactional interpretation handshake advanced retarded wave function collapse collapse mechanism EPR HBT Jaynes NCT split photon Freedman–Clauser nonlocality entanglement stochastic optimal control stochastic mechanics thermodynamic equilibrium uncertainty principle algebraic approach DVR method coulombic potential stark effect teleportation indefinite causal order weak measurement quantum algorithm identity principle exchange contribution new type weak localization inelastic coherent scattering dispersion potentials phenomenology of quantum gravity novel experimental methods epistemology semiclassical methods decision-making uncertainty persuasion quantum-like distraction MIM diode metal–insulator–metal diode photoinjection internal photoemission vacuum fluctuations Casimir effect zero-point fluctuations geometrical asymmetry Levi-Civita metric general relativity curvature invariant thema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes::TB Technology: general issues::TBX History of engineering and technology |
| url | ONIX_20220224_9783036526959_15 |